The O(α_s^3) Massive Operator Matrix Elements of O(n_f) for the Structure Function F_2(x,Q^2) and Transversity

J. Ablinger; J. Blümlein; S. Klein; C. Schneider; F. Wißbrock

Paper

The O(α_s^3) Massive Operator Matrix Elements of O(n_f) for the Structure Function F_2(x,Q^2) and Transversity

Abstract

The contributions

to the

massive operator matrix elements describing the heavy flavor Wilson coefficients in the limit

are computed for the structure function

and transversity for general values of the Mellin variable

. Here, for two matrix elements,

and

, the complete result is obtained. A first independent computation of the contributions to the 3--loop anomalous dimensions

and

is given. In the computation advanced summation technologies for nested sums over products of hypergeometric terms with harmonic sums have been used. For intermediary results generalized harmonic sums occur, while the final results can be expressed by nested harmonic sums only.